Online GCD Calculator is useful to find the GCD of 905, 790, 980, 680 quickly. Get the easiest ways to solve the greatest common divisor of 905, 790, 980, 680 i.e 5 in different methods as follows.
Given Input numbers are 905, 790, 980, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 905 :
The positive integer divisors of 905 that completely divides 905 are.
1, 5, 181, 905
Divisors of 790 :
The positive integer divisors of 790 that completely divides 790 are.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (905, 790, 980, 680) = 5.
Given numbers are 905, 790, 980, 680
The list of prime factors of all numbers are
Prime factors of 905 are 5 x 181
Prime factors of 790 are 2 x 5 x 79
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The highest common occurrence is 51
Therefore, GCD of 905, 790, 980, 680 is 5.
Given numbers are 905, 790, 980, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(905, 790) = 142990
GCD(905, 790) = ( 905 x 790 ) / 142990
= 905 / 790
= 905
Step2:
LCM(5, 980) = 980
GCD(5, 980) = ( 5 x 980 ) / 980
= 5 / 980
= 5
Step3:
LCM(5, 680) = 680
GCD(5, 680) = ( 5 x 680 ) / 680
= 5 / 680
= 5
So, Greatest Common Divisor of 905, 790, 980, 680 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 905, 790, 980, 680
The greatest common divisor of numbers 905, 790, 980, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 905, 790, 980, 680 is 5.
1. What is the GCD of 905, 790, 980, 680?
GCD of given numbers 905, 790, 980, 680 is 5
2. How to calculate the greatest common divisor of 905, 790, 980, 680?
We can find the highest common divisor of 905, 790, 980, 680 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 905, 790, 980, 680 i.e 5.
3. How can I use the GCD of 905, 790, 980, 680Calculator?
Out the numbers 905, 790, 980, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.